Combinations- how to show that 10c2=10c8

The most effective way to show that 10C2 = 10C8 is to solve for the values of each combination. To solve for the values, we have to make use of the combination formula:

nCr = n! / r! (n – r)!

where n is the total sample size and r is the selected sample size

Calculating the value of 10C2:

10C2 = 10! / [2! (10 – 2)!]

10C2 = 10! / (2! * 8!)

10C2 = 45

Calculating the value of 10C8:

10C8 = 10! / [8! (10 – 8)!]

10C8 = 10! / (8! * 2!)

10C8 = 45

Therefore,

10C2 = 10C8

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75

3 is greater then both of those numbers